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#include <boost/test/unit_test.hpp>
#include <aocommon/hmatrix4x4.h>
#include <aocommon/matrix2x2.h>
#include <aocommon/matrix4x4.h>
using aocommon::HMC4x4;
using aocommon::MC2x2;
using aocommon::MC4x4;
using aocommon::Vector4;
#define CHECK_CLOSE_MESSAGE(VAL, REF, MSG) \
BOOST_CHECK_MESSAGE(std::fabs(VAL - REF) < 1e-6, \
MSG << " is " << VAL << ", should be " << REF);
BOOST_AUTO_TEST_SUITE(hmatrix4x4)
template <typename Matrix>
static void CheckMatrix(const Matrix& result, const Matrix& groundtruth) {
for (size_t i = 0; i != 16; ++i) {
BOOST_CHECK_CLOSE(result[i].real(), groundtruth[i].real(), 1e-6);
BOOST_CHECK_CLOSE(result[i].imag(), groundtruth[i].imag(), 1e-6);
}
}
BOOST_AUTO_TEST_CASE(zero) {
HMC4x4 zero = HMC4x4::Zero();
HMC4x4 ref{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
CheckMatrix(zero, ref);
CheckMatrix(zero.ToMatrix(), MC4x4::Zero());
}
BOOST_AUTO_TEST_CASE(unit) {
HMC4x4 unit = HMC4x4::Unit();
HMC4x4 ref{1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0};
CheckMatrix(unit, ref);
CheckMatrix(unit.ToMatrix(), MC4x4::Unit());
}
BOOST_AUTO_TEST_CASE(buffer) {
HMC4x4 ref = HMC4x4::Unit();
std::array<double, 16> buffer;
for (size_t i = 0; i != buffer.size(); ++i) {
buffer[i] = ref.Data(i);
}
HMC4x4 unit(buffer.data());
CheckMatrix(unit, ref);
CheckMatrix(unit.ToMatrix(), MC4x4::Unit());
}
BOOST_AUTO_TEST_CASE(inversion) {
HMC4x4 m1(HMC4x4::Unit());
BOOST_CHECK(m1.Invert());
CheckMatrix(m1, HMC4x4::Unit());
HMC4x4 m2(HMC4x4::Unit() * 2);
BOOST_CHECK(m2.Invert());
CheckMatrix(m2, HMC4x4::Unit() * 0.5);
BOOST_CHECK(m2.Invert());
CheckMatrix(m2, HMC4x4::Unit() * 2.0);
HMC4x4 m3;
BOOST_CHECK(!m3.Invert());
}
BOOST_AUTO_TEST_CASE(from_data) {
// Identity matrix
HMC4x4 m = HMC4x4::FromData({1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 1.0});
CheckMatrix(m, HMC4x4::Unit());
auto invalid_size = {1.0, 0.0};
BOOST_CHECK_THROW(HMC4x4::FromData(invalid_size), std::runtime_error);
}
BOOST_AUTO_TEST_CASE(indexing1) {
HMC4x4 m{1.0, 2.0, 4.0, 7.0, 2.0, 3.0, 5.0, 8.0,
4.0, 5.0, 6.0, 9.0, 7.0, 8.0, 9.0, 10.0};
const double vals[16] = {1.0, 2.0, 4.0, 7.0, 2.0, 3.0, 5.0, 8.0,
4.0, 5.0, 6.0, 9.0, 7.0, 8.0, 9.0, 10.0};
for (size_t i = 0; i != 16; ++i) {
BOOST_CHECK_CLOSE(m[i].real(), vals[i], 1e-6);
BOOST_CHECK_CLOSE(m[i].imag(), 0.0, 1e-6);
}
}
BOOST_AUTO_TEST_CASE(indexing2) {
std::complex<double> j(0.0, 1.0);
HMC4x4 m{1.0, 2.0 - j, 4.0, 7.0, 2.0 + j, 3.0, 5.0, 8.0 + j,
4.0, 5.0, 6.0, 9.0, 7.0, 8.0 - j, 9.0, 10.0};
const std::complex<double> vals[16] = {1.0, 2.0 - j, 4.0, 7.0, 2.0 + j, 3.0,
5.0, 8.0 + j, 4.0, 5.0, 6.0, 9.0,
7.0, 8.0 - j, 9.0, 10.0};
for (size_t i = 0; i != 16; ++i) {
CHECK_CLOSE_MESSAGE(m[i].real(), vals[i].real(), "Real element " << i);
CHECK_CLOSE_MESSAGE(m[i].imag(), vals[i].imag(), "Imag element " << i);
}
}
BOOST_AUTO_TEST_CASE(scalar_product) {
HMC4x4 ref = HMC4x4{2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0,
0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0};
// scalar multiplication
CheckMatrix(HMC4x4::Unit() * 2.0, ref);
// scalar multiplication-assignment
HMC4x4 m = HMC4x4::Unit();
m *= 2.0;
CheckMatrix(m, ref);
}
BOOST_AUTO_TEST_CASE(scalar_division) {
HMC4x4 m = HMC4x4{2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0,
0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0};
// scalar division-assignment
m /= 2.0;
CheckMatrix(m, HMC4x4::Unit());
}
BOOST_AUTO_TEST_CASE(product_with_vector4) {
Vector4 v1(2.0, 2.0, 2.0, 2.0);
Vector4 res = HMC4x4::Unit() * v1;
for (size_t i = 0; i != 4; ++i) {
BOOST_CHECK_CLOSE(res[i].real(), 2.0, 1e-6);
BOOST_CHECK_CLOSE(res[i].imag(), 0.0, 1e-6);
}
Vector4 v2(std::complex<double>(2.0, 3.0), std::complex<double>(4.0, 5.0),
std::complex<double>(5.0, 6.0), std::complex<double>(7.0, 8.0));
res = HMC4x4::Unit() * 0.5 * v2;
Vector4 ref = MC4x4::Unit() * 0.5 * v2;
for (size_t i = 0; i != 4; ++i) {
BOOST_CHECK_CLOSE(res[i].real(), ref[i].real(), 1e-6);
BOOST_CHECK_CLOSE(res[i].imag(), ref[i].imag(), 1e-6);
}
std::complex<double> j(0.0, 1.0);
MC4x4 m{1.0, 2.0 + 1.0 * j, 3.0 + 2.0 * j, 4.0 + 3.0 * j,
2.0 - 1.0 * j, 2.0, 3.0 + 2.0 * j, 4.0 + 2.0 * j,
3.0 - 2.0 * j, 3.0 - 2.0 * j, 3.0, 4.0 - 3.0 * j,
4.0 - 3.0 * j, 4.0 - 2.0 * j, 4.0 + 3.0 * j, 4.0};
res = HMC4x4(m) * v2;
ref = m * v2;
for (size_t i = 0; i != 4; ++i) {
CHECK_CLOSE_MESSAGE(res[i].real(), ref[i].real(), "Element " << i);
CHECK_CLOSE_MESSAGE(res[i].imag(), ref[i].imag(), "Element " << i);
}
}
static void checkKroneckerProduct(const MC2x2& a, const MC2x2& x,
const MC2x2& b) {
Vector4 ref = a.Multiply(x).MultiplyHerm(b).Vec();
HMC4x4 product = HMC4x4::KroneckerProduct(b.HermTranspose().Transpose(), a);
Vector4 v = product * x.Vec();
for (size_t i = 0; i != 4; ++i) {
BOOST_CHECK_CLOSE(v[i].real(), ref[i].real(), 1e-6);
BOOST_CHECK_CLOSE(v[i].imag(), ref[i].imag(), 1e-6);
}
}
BOOST_AUTO_TEST_CASE(kronecker_product_a) {
checkKroneckerProduct(MC2x2::Unity(), MC2x2::Unity(), MC2x2::Unity());
}
BOOST_AUTO_TEST_CASE(kronecker_product_b) {
MC2x2 a1{1.0, 2.0, 2.0, 4.0}, x1(MC2x2::Unity()), b1{1.0, 2.0, 2.0, 4.0};
checkKroneckerProduct(a1, x1, b1);
}
BOOST_AUTO_TEST_CASE(kronecker_product_c) {
MC2x2 a3{0.0, 1.0, 1.0, 3.0}, x3{0.0, 1.0, 2.0, 3.0}, b3{0.0, 1.0, 1.0, 3.0};
checkKroneckerProduct(a3, x3, b3);
}
BOOST_AUTO_TEST_CASE(kronecker_product_d) {
std::complex<double> x(8, 2), y(6, 3), xc = std::conj(x), yc = std::conj(y);
MC2x2 a4{0.0, 2.0 * y, 2.0 * yc, 3.0}, x4{1.0, 2.0 * xc, 2.0 * x, 4.0},
b4{1.0, 3.0 * x, 3.0 * xc, 4.0};
checkKroneckerProduct(a4, x4, b4);
}
BOOST_AUTO_TEST_CASE(norm) {
BOOST_CHECK_CLOSE((HMC4x4::Unit() * 2.0).Norm(), (MC4x4::Unit() * 2.0).Norm(),
1e-6);
std::complex<double> j(0, 1);
HMC4x4 m{
1.0, 2.0 + 3.0 * j, 4.0 - 5.0 * j, 6.0 + 7.0 * j, 2.0 - 3.0 * j,
8.0, 9.0 + 10.0 * j, 11.0 - 12.0 * j, 4.0 + 5.0 * j, 9.0 - 10.0 * j,
13.0, 14.0 + 15.0 * j, 6.0 - 7.0 * j, 11.0 + 12.0 * j, 11.0 + 12.0 * j,
16.0};
BOOST_CHECK_CLOSE(m.Norm(), m.ToMatrix().Norm(), 1e-6);
}
BOOST_AUTO_TEST_SUITE_END()
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